{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:637FUVGQDU6SQHFVPOBNQT6TII","short_pith_number":"pith:637FUVGQ","canonical_record":{"source":{"id":"2603.24269","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-25T13:01:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"29fd72f052e9c731533e07fb9196ff573366f96268d4f1158693ff3ac0bf15a1","abstract_canon_sha256":"e1d916775bc9f7a204dd749f47d202fda59252d85113a73e5f307afecbdc7e6b"},"schema_version":"1.0"},"canonical_sha256":"f6fe5a54d01d3d281cb57b82d84fd3421ac843b8372de09bcc598212436368c0","source":{"kind":"arxiv","id":"2603.24269","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.24269","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"2603.24269v2","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.24269","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"637FUVGQDU6S","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"pith_short_16","alias_value":"637FUVGQDU6SQHFV","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"pith_short_8","alias_value":"637FUVGQ","created_at":"2026-07-10T01:19:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:637FUVGQDU6SQHFVPOBNQT6TII","target":"record","payload":{"canonical_record":{"source":{"id":"2603.24269","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-25T13:01:49Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"29fd72f052e9c731533e07fb9196ff573366f96268d4f1158693ff3ac0bf15a1","abstract_canon_sha256":"e1d916775bc9f7a204dd749f47d202fda59252d85113a73e5f307afecbdc7e6b"},"schema_version":"1.0"},"canonical_sha256":"f6fe5a54d01d3d281cb57b82d84fd3421ac843b8372de09bcc598212436368c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-10T01:19:43.150268Z","signature_b64":"1G/GmeXoX3l28KGjsRuymUEjmos4Rgf9hZJWQZCI7GjRISRjkGXfrDCh5vlZpC3Bh/h7L1ADP7lObPqZ08NUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6fe5a54d01d3d281cb57b82d84fd3421ac843b8372de09bcc598212436368c0","last_reissued_at":"2026-07-10T01:19:43.149864Z","signature_status":"signed_v1","first_computed_at":"2026-07-10T01:19:43.149864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.24269","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-10T01:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dYHyTAB8D/Taobh+Y3mv3YRze41GxLtrCGs1xYaGaTl/xr48chC0viB1+WKRRMRgs6HIblUXd+pTo0uZ7lhtCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:42:14.857637Z"},"content_sha256":"28c18ff90aa5d0b410d0f42a7fd39d5c9eff41d14ad65c6a0d2f4fbb0e2093f5","schema_version":"1.0","event_id":"sha256:28c18ff90aa5d0b410d0f42a7fd39d5c9eff41d14ad65c6a0d2f4fbb0e2093f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:637FUVGQDU6SQHFVPOBNQT6TII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effective geometrostatics of spherical stars beyond general relativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Julio Arrechea, Matt Visser, Ra\\'ul Carballo-Rubio","submitted_at":"2026-03-25T13:01:49Z","abstract_excerpt":"We provide a set of general tools to study the problem of stellar equilibrium in any gravitational theory in which spherically symmetric spacetimes satisfy master field equations taking the form of an equality between an identically conserved tensor, with derivatives of up to second order in the metric, and an identically conserved matter tensor. We derive the most general expression for the Tolman--Oppenheimer--Volkoff equation of stellar equilibrium that is compatible with these minimal requirements. A general discussion of the conditions that guarantee geodesic completeness at the center of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.24269","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.24269/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-10T01:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r9XHAXuA3nPLhXACsQby6hAdirAzHGf6Q9kfu2ZwyDK5otR6phpeYo0zOCR7iTgOXkfzjc/Aj0YCdFJjqCApAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T14:42:14.858036Z"},"content_sha256":"0f7cda869d83f65a199b2566c6aad12497b51316e38747dc9e9ad52823867495","schema_version":"1.0","event_id":"sha256:0f7cda869d83f65a199b2566c6aad12497b51316e38747dc9e9ad52823867495"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/637FUVGQDU6SQHFVPOBNQT6TII/bundle.json","state_url":"https://pith.science/pith/637FUVGQDU6SQHFVPOBNQT6TII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/637FUVGQDU6SQHFVPOBNQT6TII/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T14:42:14Z","links":{"resolver":"https://pith.science/pith/637FUVGQDU6SQHFVPOBNQT6TII","bundle":"https://pith.science/pith/637FUVGQDU6SQHFVPOBNQT6TII/bundle.json","state":"https://pith.science/pith/637FUVGQDU6SQHFVPOBNQT6TII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/637FUVGQDU6SQHFVPOBNQT6TII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:637FUVGQDU6SQHFVPOBNQT6TII","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e1d916775bc9f7a204dd749f47d202fda59252d85113a73e5f307afecbdc7e6b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-25T13:01:49Z","title_canon_sha256":"29fd72f052e9c731533e07fb9196ff573366f96268d4f1158693ff3ac0bf15a1"},"schema_version":"1.0","source":{"id":"2603.24269","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.24269","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"2603.24269v2","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.24269","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"637FUVGQDU6S","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"pith_short_16","alias_value":"637FUVGQDU6SQHFV","created_at":"2026-07-10T01:19:43Z"},{"alias_kind":"pith_short_8","alias_value":"637FUVGQ","created_at":"2026-07-10T01:19:43Z"}],"graph_snapshots":[{"event_id":"sha256:0f7cda869d83f65a199b2566c6aad12497b51316e38747dc9e9ad52823867495","target":"graph","created_at":"2026-07-10T01:19:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2603.24269/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a set of general tools to study the problem of stellar equilibrium in any gravitational theory in which spherically symmetric spacetimes satisfy master field equations taking the form of an equality between an identically conserved tensor, with derivatives of up to second order in the metric, and an identically conserved matter tensor. We derive the most general expression for the Tolman--Oppenheimer--Volkoff equation of stellar equilibrium that is compatible with these minimal requirements. A general discussion of the conditions that guarantee geodesic completeness at the center of","authors_text":"Julio Arrechea, Matt Visser, Ra\\'ul Carballo-Rubio","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-25T13:01:49Z","title":"Effective geometrostatics of spherical stars beyond general relativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.24269","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:28c18ff90aa5d0b410d0f42a7fd39d5c9eff41d14ad65c6a0d2f4fbb0e2093f5","target":"record","created_at":"2026-07-10T01:19:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e1d916775bc9f7a204dd749f47d202fda59252d85113a73e5f307afecbdc7e6b","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-25T13:01:49Z","title_canon_sha256":"29fd72f052e9c731533e07fb9196ff573366f96268d4f1158693ff3ac0bf15a1"},"schema_version":"1.0","source":{"id":"2603.24269","kind":"arxiv","version":2}},"canonical_sha256":"f6fe5a54d01d3d281cb57b82d84fd3421ac843b8372de09bcc598212436368c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6fe5a54d01d3d281cb57b82d84fd3421ac843b8372de09bcc598212436368c0","first_computed_at":"2026-07-10T01:19:43.149864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T01:19:43.149864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1G/GmeXoX3l28KGjsRuymUEjmos4Rgf9hZJWQZCI7GjRISRjkGXfrDCh5vlZpC3Bh/h7L1ADP7lObPqZ08NUCw==","signature_status":"signed_v1","signed_at":"2026-07-10T01:19:43.150268Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.24269","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28c18ff90aa5d0b410d0f42a7fd39d5c9eff41d14ad65c6a0d2f4fbb0e2093f5","sha256:0f7cda869d83f65a199b2566c6aad12497b51316e38747dc9e9ad52823867495"],"state_sha256":"8195f94e28cf34d87d26cac3f93af28a167ad85ce25a0b374520e09dc1e0cf2a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mqnXNB3QMxLYe1FnVjwUB2EL08g6UftbJjJGIX+JraaOdzfbKYnQo48mI9EmNKZWSsOMXtXZup8ra7oJOPOABQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T14:42:14.860821Z","bundle_sha256":"5c54cf333c215981e4ea5cace95179c2ba5751d440b5318080a6d116a8ded920"}}